By Stella Qiu

SYDNEY, June 23 (Reuters) - The Australian and New Zealand dollars fell with global stocks on Monday after the U.S. bombed nuclear facilities in Iran, although they found some chart support to lean on and bounced off earlier lows.

Investors were anxiously waiting to see if Iran would retaliate with the closure of the Strait of Hormuz through which around 20% of the world's daily oil and gas demand flows, with resulting risks to global activity and inflation.

The weekend U.S. strike did send the Aussie AUD=D3 to a three-week low of $0.6416 early on Monday, but it soon found support at the 200-day moving average of $0.6423. It was last off 0.3% at $0.6430.

The kiwi NZD=D3 similarly touched a three-week trough of $0.5929, before paring some of the losses to be down 0.3% at $0.5947. It has support at $0.5926.

The commodity-sensitive currencies often track global risk sentiment and tend to take a hit when equity markets slide.

Joseph Capurso, head of international economics at the Commonwealth Bank of Australia, expects the Aussie could test $0.6307 and possibly $0.6157 this week, depending on whether the Middle East conflict escalates.

"We expect these moves will start small in the Asia session and expand in the London session, unless there is soothing news from Iran or the U.S.," said Capurso. "We expect intraday trading ranges to be wide this week."

Down Under, Australia will publish the monthly inflation reading for May on Wednesday. Expectations are centred on an annual rise of 2.3%, slowing from a gain of 2.4% in April. That is the last major data point before the Reserve Bank of Australia's policy decision on July 8.

A strong result could upset market betting for a cut next month, which is currently priced at 78%. 0#AUDIRPR

New Zealand will publish trade data on Wednesday. Its economy grew faster than expected in the first quarter, supporting the case that the central bank is nearing the end of the easing cycle.

Markets see scant chance of the Reserve Bank of New Zealand cutting its 3.25% rate in July, though the probability of an August move is above 60%. 0#NZDIRPR

"A solid cyclical upswing appears to be underway in New Zealand, supported by sharply lower interest rates and a strong rise in dairy exports," said Paul Bloxham, chief economist, Australia, NZ & Global Commodities at HSBC.

"Australia's growth remains hamstrung by a constrained supply-side and weak productivity. Trans-Tasman divergence continues."

(Reporting by Stella Qiu; Editing by Sonali Paul)

((yifan.qiu@thomsonreuters.com))